313680 has 40 divisors (see below), whose sum is σ = 973152. Its totient is φ = 83584.

The previous prime is 313679. The next prime is 313699. The reversal of 313680 is 86313.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414 + ... + 893.

2³¹³⁶⁸⁰ is an apocalyptic number.

313680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313680 is an abundant number, since it is smaller than the sum of its proper divisors (659472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313680 is a wasteful number, since it uses less digits than its factorization.

313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 313680 is about 560.0714240166. The cubic root of 313680 is about 67.9457468068.

Adding to 313680 its reverse (86313), we get a palindrome (399993).

The spelling of 313680 in words is "three hundred thirteen thousand, six hundred eighty".